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Finding the Third Proportional to 217,748 and 336,486

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Solution

The third proportional to 217,748 and 336,486 is: 519,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,748 : 336,486 = 336,486 : x
  2. Step 2: Convert to fraction form
    217,748/336,486 = 336,486/x
  3. Step 3: Cross multiply
    217,748x = 336,486 × 336,486
  4. Step 4: Simplify right side
    217,748x = 113,222,828,196
  5. Step 5: Solve for x
    x = 113,222,828,196/217,748
  6. Step 6: Final answer
    x = 519,971.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.